Home / 2,422.28-3,635.13-961.74

Finding the Fourth Proportional to 2,422.28, 3,635.13 and 961.74

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Solution

The fourth proportional to 2,422.28, 3,635.13 and 961.74 is: 1,443.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.28 : 3,635.13 = 961.74 : x
  2. Step 2: Convert to fraction form
    2,422.28/3,635.13 = 961.74/x
  3. Step 3: Cross multiply
    2,422.28x = 3,635.13 × 961.74
  4. Step 4: Simplify right side
    2,422.28x = 3,496,049.93
  5. Step 5: Solve for x
    x = 3,496,049.93/2,422.28
  6. Step 6: Final answer
    x = 1,443.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.